Verlander (1-1) earned his first victory of the season in his third start, holding the Royals to seven hits while walking two and striking out nine and lowering his ERA to 2.13.
Brandon Inge launched a two-run homer in fifth inning to break a 1-1 tie and provide all the offense Detroit would need in its third win in four games.
Danny Duffy (1-1) took the loss after yielding three runs on seven hits in a 6 2/3-inning effort for the Royals.
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